Title :
On monotonicity of solutions of discrete-time nonnegative and compartmental dynamical systems
Author :
Chellaboina, VijaySekhar ; Haddad, Wassim M. ; Bailey, James M. ; Ramakrishnan, J.
Author_Institution :
Mech. & Aerosp. Eng., Missouri Univ., Columbia, MO, USA
Abstract :
Nonnegative and compartmental dynamical system models are widespread in biological, physiological, and pharmacological sciences. Since the state variables of these systems are typically masses or concentrations of a physical process, it is of interest to determine necessary and sufficient conditions under which the system states possess monotonic solutions. In this paper we present necessary and sufficient conditions for identifying discrete-time nonnegative and compartmental dynamical systems that only admit monotonic solutions.
Keywords :
discrete time systems; linear systems; multidimensional systems; nonlinear dynamical systems; 3D compartmental dynamical systems; discrete time systems; dynamical system models; monotonic solutions; necessary conditions; nonnegative systems; state variables; sufficient conditions; Aerodynamics; Aerospace engineering; Biological materials; Biological system modeling; Biology; Drugs; Ear; Kinetic theory; Limit-cycles; Sufficient conditions;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1243422
